Analytic interpolation with degree constraint: a constructive theory with applications to control and signal processing

Christopher I. Byrnes, Tryphon T Georgiou, Anders Lindquist

Research output: Contribution to journalConference articlepeer-review

2 Scopus citations

Abstract

We present a constructive theory for solving the Nevanlinna-Pick problem with degree constraint. The theory relies on convex optimization and the method generates all solutions with degree less than the number of interpolation conditions. The degree of the interpolant relates to the dimension of the feedback control system or of a modeling filter, depending on the context for the particular application.

Original languageEnglish (US)
Pages (from-to)982-988
Number of pages7
JournalProceedings of the IEEE Conference on Decision and Control
Volume1
StatePublished - Dec 1 1999
EventThe 38th IEEE Conference on Decision and Control (CDC) - Phoenix, AZ, USA
Duration: Dec 7 1999Dec 10 1999

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